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Finding the Fourth Proportional to 12,200.74, 16,798.52 and 10,763.42

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Solution

The fourth proportional to 12,200.74, 16,798.52 and 10,763.42 is: 14,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.74 : 16,798.52 = 10,763.42 : x
  2. Step 2: Convert to fraction form
    12,200.74/16,798.52 = 10,763.42/x
  3. Step 3: Cross multiply
    12,200.74x = 16,798.52 × 10,763.42
  4. Step 4: Simplify right side
    12,200.74x = 180,809,526.14
  5. Step 5: Solve for x
    x = 180,809,526.14/12,200.74
  6. Step 6: Final answer
    x = 14,819.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.